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math.CO2024
Fundamental quasisymmetric functions in superspace
Susanna Fishel, Jessica Gatica, Luc Lapointe +1
The fundamental quasisymmetric functions in superspace are a generalization of the fundamental quasisymmetric functions involving anticommuting variables. We obtain the action of t…
math.CO2017★ 2 cited
Pieri rules for the Jack polynomials in superspace and the 6-vertex model
J. Gatica, M. Jones, L. Lapointe
We present Pieri rules for the Jack polynomials in superspace. The coefficients in the Pieri rules are, except for an extra determinant, products of quotients of linear factors in…